The Heisenberg-Lorentz quantum group

Details The Heisenberg-Lorentz quantum group The Heisenberg-Lorentz quantum group

2008-07-22

arxiv.org/abs/0807.3401v4

J. Noncommut. Geom. (4),(2010), p. 577 - 611

Mathematics

Operator Algebras

We replace the paper with the version which is published in JNCG

Scientific paper

In this article we present a new C*-algebraic deformation of the Lorentz group. It is obtained by means of the Rieffel deformation applied to SL(2,C). We give a detailed description of the resulting quantum group in terms of generators - the quantum counterparts of the matrix coefficients of the fundamental representation of SL(2,C). In order to construct the most involved of four generators, we first define it on the quantum Borel subgroup, then on the quantum complement of the Borel subgroup and finally we perform the gluing procedure. In order to classify representations of the C*-algebra of the Heisenberg-Lorentz quantum group and to analyze the action of the comultiplication on the generators we employ the duality in the theory of locally compact quantum groups.

Affiliated with

Also associated with

No associations

Rating

The Heisenberg-Lorentz quantum group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Heisenberg-Lorentz quantum group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Heisenberg-Lorentz quantum group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-435707